2 years ago

Write an equation of the line that passes through (5,1) and is parallel to the line y=−2x+4

Mathematics

2 answers:

yulyashka [42]2 years ago

8 0

Answer:

y = -2x + 11

Step-by-step explanation:

Yanka [14]2 years ago

8 0

Y=-2x+11 is the solution

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Solve log (x + 1) = –x2 + 10 by graphing. Which equations should be graphed?

GarryVolchara [31]

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2 years ago

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iren2701 [21]

x2 - 12x - 12 = 0

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Gnesinka [82]

Step-by-step explanation:

x = by - 3/2

x + 3/2 = by

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the system has infinite solutions, if both equations are actually identical.

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MArishka [77]

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3 years ago

2. The alkalinity of a fluid (pH) can be modeled in terms of its hydrogen ion concentration (H+, measured in moles/liter) of the

nataly862011 [7]

Given the equation:

$pH=-log\mleft(H^+\mright)$

You know that a lab technician finds that a sample of fluid has this pH:

$pH=4.5$

Then, in order to find the hydrogen ion concentration of the fluid, you need to follow these steps:

1. Substitute the pH given in the exercise into the equation:

$4.5=-log(H^+)$

Multiply both sides by -1:

$-4.5=\log (H^+)$

2. Solve for:

$H^+$

Remember that, by definition:

$\log _b\mleft(c\mright)=a\Rightarrow b^a=c$

In this case, you can identify that:

$\begin{gathered} a=-4.5 \\ b=10 \\ c=H^+ \end{gathered}$

Hence, substituting values and simplifying, you get:

$\begin{gathered} b^a=c \\ 10^{-4.5}=H^+ \\ H^+=0.00003162278\text{ }\frac{moles}{liter} \end{gathered}$

Therefore, the answer is:

$H^+=0.00003162278\text{ }\frac{moles}{liter}$

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1 year ago